Arixjjb,

In which country did you eat your "butter chicken"?  It varies from country to country.

"Butter chicken" is very similar to "chicken tikka masala".  "Chicken tikka masala" is more common in the UK. 

"Butter chicken" will have more butter in it than "chicken tikka masala".

For "butter chicken" and "chicken tikka masala" recipes, see here:  https://curry-recipes.co.uk/curry/index.php?board=63.0 (click on the link)

You will find several recipes for "butter chicken" and "chicken tikka masala" there.